Triangulating the Permutahedron
Abstract
For a finite irreducible real reflection group, W, we triangulate its permutahedron and use this to give an explicit homotopy equivalence between two known classifying spaces for the associated Artin group, B(W). In the process, we characterise the Bruhat intervals from w1 to w2 in W, where w1-1w2 is a Coxeter element.
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